Translator’s Preface to J. Milnor’s book ″Morse Theory″

  • Vladimir I. Arnold
Chapter
Part of the Vladimir I. Arnold - Collected Works book series (ARNOLD, volume 2)

Abstract

Milnor’s book is a textbook on Morse theory. Starting with the simplest example and finishing with Bott’s Periodicity theorem, the exposition remains geometrically intuitive but rigorous. It is modern but also elegant; it is extensive but also self-contained: the necessary facts from differential geometry, calculus of variations, and so on, are derived in the book itself in a form required by the author.

Keywords

Homotopy Class Homotopy Group Closed Geodesic Morse Theory Differentiable Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© MIR, Moscow 1965

Authors and Affiliations

  • Vladimir I. Arnold
    • 1
  1. 1.HeidelbergGermany

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